LaTeX Cheat Sheet
Basic Syntax
- Inline:
→ Example:
- Display:
or
equation
environment
Common Symbols
Write… | In LaTeX |
Greek letters (lowercase) | \alpha ,
\beta , ...,
\omega |
Greek letters (uppercase) | \Gamma ,
\Delta ,
\Omega , etc. |
Subscripts | x_i |
Superscripts | x^2 |
Fractions | \frac{a}{b} |
Square root | \sqrt{x} ,
\sqrt[n]{x} |
Infinity | \infty |
Approximately equal | \approx |
Not equal | \neq |
Less/Greater than equal | \leq ,
\geq |
Plus-minus | \pm |
Degree | ^\circ |
Dots | \ldots ,
\cdots ,
\vdots ,
\ddots |
Vector arrow | \vec{v} |
Hat | \hat{x} |
Bar | \bar{x} |
Tilde | \tilde{x} |
Functions
\sin, \cos, \tan, \log, \ln, \exp, \min, \max, \lim, \sup, \inf
Piecewise Functions
f(x) = \begin{cases}
x^2 & \text{if } x \geq 0 \\
-x & \text{otherwise}
\end{cases}
Summation
\sum_{i=1}^{n} i^2
Integrals
\int f(x)\,dx
\int_{a}^{b} x^2\,dx
\iint, \iiint, \oint
Matrices
\begin{bmatrix}
a & b \\
c & d
\end{bmatrix}
Other styles:
pmatrix
,
vmatrix
,
Vmatrix
Cases and Conditions
\begin{cases}
1 & \text{if } x > 0 \\
0 & \text{otherwise}
\end{cases}
Arrows and Relations
Write… | In LaTeX |
Right arrow | \rightarrow |
Left arrow | \leftarrow |
Double arrow | \Rightarrow ,
\Leftarrow |
Bidirectional arrow | \leftrightarrow ,
\Leftrightarrow |
Maps to | \mapsto |
Proportional to | \propto |
Element of | \in |
Not in | \notin |
Subset | \subset ,
\subseteq |
Union / Intersection | \cup ,
\cap |
Brackets and Delimiters
\left( \frac{a}{b} \right)
\left[ \cdots \right], \left\{ \cdots \right\}
\left| x \right|
Limits and Derivatives
\lim_{x \to 0} \frac{\sin x}{x}
\frac{dy}{dx}, \frac{d^2y}{dx^2}
\frac{\partial f}{\partial x}
Logic Symbols
Write… | In LaTeX |
For all | \forall |
There exists | \exists |
Not | \neg |
And | \land |
Or | \lor |
Implies | \Rightarrow |
If and only if | \Leftrightarrow |
Alignment and Equations
\begin{align}
a &= b + c \\
x &= y + z
\end{align}
Sets
\{ x \in \mathbb{R} \mid x > 0 \}
\in, \notin, \subset, \subseteq, \cup, \cap, \setminus
\mathbb{R}, \mathbb{N}, \mathbb{Z}, \mathbb{Q}, \mathbb{C}
Misc Tips
\,
,
\;
,
\!
for spacing in math mode
\text{}
for inserting regular text in math mode
x = 0 \text{ if } y > 2